Next Article in Journal
HCDA: Efficient Pairing-Free Homographic Key Management for Dynamic Cross-Domain Authentication in VANETs
Previous Article in Journal
Informationally Complete Characters for Quark and Lepton Mixings
Previous Article in Special Issue
On Nonlinear Fractional Difference Equation with Delay and Impulses
Open AccessArticle

New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis

1
Department of Mathematics, Kalinga Institute of Industrial Technology, Bhubaneswar-751024, India
2
Department of Mathematics, National Institute of Technology, Rourkela-769008, India
3
Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia
4
Department of Physics, Theoretical Research Group, Science Faculty, Mansoura University, Mansoura 35516, Egypt
5
Department of Mathematics, Science Faculty, Firat University, Elazig 23119, Turkey
6
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 411, Taiwan
7
Department of Mathematics, Huzhou University, Huzhou 313000, China
8
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China
*
Authors to whom correspondence should be addressed.
Symmetry 2020, 12(6), 1001; https://doi.org/10.3390/sym12061001
Received: 12 May 2020 / Revised: 29 May 2020 / Accepted: 5 June 2020 / Published: 12 June 2020
New soliton solutions of fractional Jaulent-Miodek (JM) system are presented via symmetry analysis and fractional logistic function methods. Fractional Lie symmetry analysis is unified with symmetry analysis method. Conservation laws of the system are used to obtain new conserved vectors. Numerical simulations of the JM equations and efficiency of the methods are presented. These solutions might be imperative and significant for the explanation of some practical physical phenomena. The results show that present methods are powerful, competitive, reliable, and easy to implement for the nonlinear fractional differential equations. View Full-Text
Keywords: fractional Jaulent-Miodek (JM) system; fractional logistic function method; symmetry analysis fractional Jaulent-Miodek (JM) system; fractional logistic function method; symmetry analysis
Show Figures

Figure 1

MDPI and ACS Style

Sahoo, S.; Saha Ray, S.; Abdou, M.A.M.; Inc, M.; Chu, Y.-M. New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis. Symmetry 2020, 12, 1001.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop